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Finding the Fourth Proportional to 11,029.30, 16,503.45 and 8,113.30

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Solution

The fourth proportional to 11,029.30, 16,503.45 and 8,113.30 is: 12,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.30 : 16,503.45 = 8,113.30 : x
  2. Step 2: Convert to fraction form
    11,029.30/16,503.45 = 8,113.30/x
  3. Step 3: Cross multiply
    11,029.30x = 16,503.45 × 8,113.30
  4. Step 4: Simplify right side
    11,029.30x = 133,897,440.89
  5. Step 5: Solve for x
    x = 133,897,440.89/11,029.30
  6. Step 6: Final answer
    x = 12,140.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.